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Finding the Fourth Proportional to 16,421.47, 22,657.12 and 9,704.14

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Solution

The fourth proportional to 16,421.47, 22,657.12 and 9,704.14 is: 13,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.47 : 22,657.12 = 9,704.14 : x
  2. Step 2: Convert to fraction form
    16,421.47/22,657.12 = 9,704.14/x
  3. Step 3: Cross multiply
    16,421.47x = 22,657.12 × 9,704.14
  4. Step 4: Simplify right side
    16,421.47x = 219,867,864.48
  5. Step 5: Solve for x
    x = 219,867,864.48/16,421.47
  6. Step 6: Final answer
    x = 13,389.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.